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Finding the Fourth Proportional to 10,407.60, 14,348.10 and 7,045.08

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Solution

The fourth proportional to 10,407.60, 14,348.10 and 7,045.08 is: 9,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.60 : 14,348.10 = 7,045.08 : x
  2. Step 2: Convert to fraction form
    10,407.60/14,348.10 = 7,045.08/x
  3. Step 3: Cross multiply
    10,407.60x = 14,348.10 × 7,045.08
  4. Step 4: Simplify right side
    10,407.60x = 101,083,512.35
  5. Step 5: Solve for x
    x = 101,083,512.35/10,407.60
  6. Step 6: Final answer
    x = 9,712.47

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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.