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Finding the Fourth Proportional to 7,155.84, 9,875.04 and 4,012.60

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Solution

The fourth proportional to 7,155.84, 9,875.04 and 4,012.60 is: 5,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.84 : 9,875.04 = 4,012.60 : x
  2. Step 2: Convert to fraction form
    7,155.84/9,875.04 = 4,012.60/x
  3. Step 3: Cross multiply
    7,155.84x = 9,875.04 × 4,012.60
  4. Step 4: Simplify right side
    7,155.84x = 39,624,585.50
  5. Step 5: Solve for x
    x = 39,624,585.50/7,155.84
  6. Step 6: Final answer
    x = 5,537.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.