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Finding the Fourth Proportional to 10,510.71, 14,503.77 and 6,476.91

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Solution

The fourth proportional to 10,510.71, 14,503.77 and 6,476.91 is: 8,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.71 : 14,503.77 = 6,476.91 : x
  2. Step 2: Convert to fraction form
    10,510.71/14,503.77 = 6,476.91/x
  3. Step 3: Cross multiply
    10,510.71x = 14,503.77 × 6,476.91
  4. Step 4: Simplify right side
    10,510.71x = 93,939,612.95
  5. Step 5: Solve for x
    x = 93,939,612.95/10,510.71
  6. Step 6: Final answer
    x = 8,937.51

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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.