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Finding the Fourth Proportional to 10,802.61, 14,908.46 and 6,024.10

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Solution

The fourth proportional to 10,802.61, 14,908.46 and 6,024.10 is: 8,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.61 : 14,908.46 = 6,024.10 : x
  2. Step 2: Convert to fraction form
    10,802.61/14,908.46 = 6,024.10/x
  3. Step 3: Cross multiply
    10,802.61x = 14,908.46 × 6,024.10
  4. Step 4: Simplify right side
    10,802.61x = 89,810,053.89
  5. Step 5: Solve for x
    x = 89,810,053.89/10,802.61
  6. Step 6: Final answer
    x = 8,313.74

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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.