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Finding the Fourth Proportional to 10,032.83, 15,058.35 and 6,748.23

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Solution

The fourth proportional to 10,032.83, 15,058.35 and 6,748.23 is: 10,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.83 : 15,058.35 = 6,748.23 : x
  2. Step 2: Convert to fraction form
    10,032.83/15,058.35 = 6,748.23/x
  3. Step 3: Cross multiply
    10,032.83x = 15,058.35 × 6,748.23
  4. Step 4: Simplify right side
    10,032.83x = 101,617,209.22
  5. Step 5: Solve for x
    x = 101,617,209.22/10,032.83
  6. Step 6: Final answer
    x = 10,128.47

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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.