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Finding the Fourth Proportional to 7,402.08, 10,219.40 and 7,046.86

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Solution

The fourth proportional to 7,402.08, 10,219.40 and 7,046.86 is: 9,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.08 : 10,219.40 = 7,046.86 : x
  2. Step 2: Convert to fraction form
    7,402.08/10,219.40 = 7,046.86/x
  3. Step 3: Cross multiply
    7,402.08x = 10,219.40 × 7,046.86
  4. Step 4: Simplify right side
    7,402.08x = 72,014,681.08
  5. Step 5: Solve for x
    x = 72,014,681.08/7,402.08
  6. Step 6: Final answer
    x = 9,728.98

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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.