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Finding the Fourth Proportional to 10,510.86, 14,532.66 and 10,046.10

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Solution

The fourth proportional to 10,510.86, 14,532.66 and 10,046.10 is: 13,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.86 : 14,532.66 = 10,046.10 : x
  2. Step 2: Convert to fraction form
    10,510.86/14,532.66 = 10,046.10/x
  3. Step 3: Cross multiply
    10,510.86x = 14,532.66 × 10,046.10
  4. Step 4: Simplify right side
    10,510.86x = 145,996,555.63
  5. Step 5: Solve for x
    x = 145,996,555.63/10,510.86
  6. Step 6: Final answer
    x = 13,890.07

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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.