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Finding the Fourth Proportional to 7,354.65, 10,148.40 and 4,700.19

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Solution

The fourth proportional to 7,354.65, 10,148.40 and 4,700.19 is: 6,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.65 : 10,148.40 = 4,700.19 : x
  2. Step 2: Convert to fraction form
    7,354.65/10,148.40 = 4,700.19/x
  3. Step 3: Cross multiply
    7,354.65x = 10,148.40 × 4,700.19
  4. Step 4: Simplify right side
    7,354.65x = 47,699,408.20
  5. Step 5: Solve for x
    x = 47,699,408.20/7,354.65
  6. Step 6: Final answer
    x = 6,485.61

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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.