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Finding the Fourth Proportional to 10,598.54, 14,627.51 and 6,349.78

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Solution

The fourth proportional to 10,598.54, 14,627.51 and 6,349.78 is: 8,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.54 : 14,627.51 = 6,349.78 : x
  2. Step 2: Convert to fraction form
    10,598.54/14,627.51 = 6,349.78/x
  3. Step 3: Cross multiply
    10,598.54x = 14,627.51 × 6,349.78
  4. Step 4: Simplify right side
    10,598.54x = 92,881,398.52
  5. Step 5: Solve for x
    x = 92,881,398.52/10,598.54
  6. Step 6: Final answer
    x = 8,763.60

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