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Finding the Fourth Proportional to 10,430.80, 15,648.52 and 3,035.84

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Solution

The fourth proportional to 10,430.80, 15,648.52 and 3,035.84 is: 4,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.80 : 15,648.52 = 3,035.84 : x
  2. Step 2: Convert to fraction form
    10,430.80/15,648.52 = 3,035.84/x
  3. Step 3: Cross multiply
    10,430.80x = 15,648.52 × 3,035.84
  4. Step 4: Simplify right side
    10,430.80x = 47,506,402.96
  5. Step 5: Solve for x
    x = 47,506,402.96/10,430.80
  6. Step 6: Final answer
    x = 4,554.44

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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.