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Finding the Fourth Proportional to 10,971.32, 16,458.54 and 4,045.32

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Solution

The fourth proportional to 10,971.32, 16,458.54 and 4,045.32 is: 6,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.32 : 16,458.54 = 4,045.32 : x
  2. Step 2: Convert to fraction form
    10,971.32/16,458.54 = 4,045.32/x
  3. Step 3: Cross multiply
    10,971.32x = 16,458.54 × 4,045.32
  4. Step 4: Simplify right side
    10,971.32x = 66,580,061.03
  5. Step 5: Solve for x
    x = 66,580,061.03/10,971.32
  6. Step 6: Final answer
    x = 6,068.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.