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Finding the Fourth Proportional to 10,578.71, 14,597.60 and 6,328.91

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Solution

The fourth proportional to 10,578.71, 14,597.60 and 6,328.91 is: 8,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.71 : 14,597.60 = 6,328.91 : x
  2. Step 2: Convert to fraction form
    10,578.71/14,597.60 = 6,328.91/x
  3. Step 3: Cross multiply
    10,578.71x = 14,597.60 × 6,328.91
  4. Step 4: Simplify right side
    10,578.71x = 92,386,901.47
  5. Step 5: Solve for x
    x = 92,386,901.47/10,578.71
  6. Step 6: Final answer
    x = 8,733.28

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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.