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Finding the Fourth Proportional to 10,583.04, 14,605.20 and 6,332.16

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Solution

The fourth proportional to 10,583.04, 14,605.20 and 6,332.16 is: 8,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.04 : 14,605.20 = 6,332.16 : x
  2. Step 2: Convert to fraction form
    10,583.04/14,605.20 = 6,332.16/x
  3. Step 3: Cross multiply
    10,583.04x = 14,605.20 × 6,332.16
  4. Step 4: Simplify right side
    10,583.04x = 92,482,463.23
  5. Step 5: Solve for x
    x = 92,482,463.23/10,583.04
  6. Step 6: Final answer
    x = 8,738.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.