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Finding the Fourth Proportional to 10,044, 15,062.40 and 4,778.16

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Solution

The fourth proportional to 10,044, 15,062.40 and 4,778.16 is: 7,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 15,062.40 = 4,778.16 : x
  2. Step 2: Convert to fraction form
    10,044/15,062.40 = 4,778.16/x
  3. Step 3: Cross multiply
    10,044x = 15,062.40 × 4,778.16
  4. Step 4: Simplify right side
    10,044x = 71,970,557.18
  5. Step 5: Solve for x
    x = 71,970,557.18/10,044
  6. Step 6: Final answer
    x = 7,165.53

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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.