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Finding the Fourth Proportional to 10,748, 16,128.48 and 4,592

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Solution

The fourth proportional to 10,748, 16,128.48 and 4,592 is: 6,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748 : 16,128.48 = 4,592 : x
  2. Step 2: Convert to fraction form
    10,748/16,128.48 = 4,592/x
  3. Step 3: Cross multiply
    10,748x = 16,128.48 × 4,592
  4. Step 4: Simplify right side
    10,748x = 74,061,980.16
  5. Step 5: Solve for x
    x = 74,061,980.16/10,748
  6. Step 6: Final answer
    x = 6,890.77

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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.