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Finding the Fourth Proportional to 10,055.85, 15,070.76 and 5,613.40

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Solution

The fourth proportional to 10,055.85, 15,070.76 and 5,613.40 is: 8,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.85 : 15,070.76 = 5,613.40 : x
  2. Step 2: Convert to fraction form
    10,055.85/15,070.76 = 5,613.40/x
  3. Step 3: Cross multiply
    10,055.85x = 15,070.76 × 5,613.40
  4. Step 4: Simplify right side
    10,055.85x = 84,598,216.01
  5. Step 5: Solve for x
    x = 84,598,216.01/10,055.85
  6. Step 6: Final answer
    x = 8,412.84

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