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Finding the Fourth Proportional to 10,641.64, 14,673.72 and 7,285

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Solution

The fourth proportional to 10,641.64, 14,673.72 and 7,285 is: 10,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.64 : 14,673.72 = 7,285 : x
  2. Step 2: Convert to fraction form
    10,641.64/14,673.72 = 7,285/x
  3. Step 3: Cross multiply
    10,641.64x = 14,673.72 × 7,285
  4. Step 4: Simplify right side
    10,641.64x = 106,898,050.20
  5. Step 5: Solve for x
    x = 106,898,050.20/10,641.64
  6. Step 6: Final answer
    x = 10,045.26

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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.