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Finding the Fourth Proportional to 10,332, 14,263.20 and 6,356.64

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Solution

The fourth proportional to 10,332, 14,263.20 and 6,356.64 is: 8,775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 14,263.20 = 6,356.64 : x
  2. Step 2: Convert to fraction form
    10,332/14,263.20 = 6,356.64/x
  3. Step 3: Cross multiply
    10,332x = 14,263.20 × 6,356.64
  4. Step 4: Simplify right side
    10,332x = 90,666,027.65
  5. Step 5: Solve for x
    x = 90,666,027.65/10,332
  6. Step 6: Final answer
    x = 8,775.26

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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.