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Finding the Fourth Proportional to 10,501.47, 14,483.48 and 7,851.15

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Solution

The fourth proportional to 10,501.47, 14,483.48 and 7,851.15 is: 10,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.47 : 14,483.48 = 7,851.15 : x
  2. Step 2: Convert to fraction form
    10,501.47/14,483.48 = 7,851.15/x
  3. Step 3: Cross multiply
    10,501.47x = 14,483.48 × 7,851.15
  4. Step 4: Simplify right side
    10,501.47x = 113,711,934.75
  5. Step 5: Solve for x
    x = 113,711,934.75/10,501.47
  6. Step 6: Final answer
    x = 10,828.19

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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.