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Finding the Fourth Proportional to 13,078.60, 19,613.00 and 4,756.19

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Solution

The fourth proportional to 13,078.60, 19,613.00 and 4,756.19 is: 7,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.60 : 19,613.00 = 4,756.19 : x
  2. Step 2: Convert to fraction form
    13,078.60/19,613.00 = 4,756.19/x
  3. Step 3: Cross multiply
    13,078.60x = 19,613.00 × 4,756.19
  4. Step 4: Simplify right side
    13,078.60x = 93,283,068.30
  5. Step 5: Solve for x
    x = 93,283,068.30/13,078.60
  6. Step 6: Final answer
    x = 7,132.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.