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Finding the Fourth Proportional to 7,061.60, 10,596 and 2,904.80

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Solution

The fourth proportional to 7,061.60, 10,596 and 2,904.80 is: 4,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.60 : 10,596 = 2,904.80 : x
  2. Step 2: Convert to fraction form
    7,061.60/10,596 = 2,904.80/x
  3. Step 3: Cross multiply
    7,061.60x = 10,596 × 2,904.80
  4. Step 4: Simplify right side
    7,061.60x = 30,779,260.80
  5. Step 5: Solve for x
    x = 30,779,260.80/7,061.60
  6. Step 6: Final answer
    x = 4,358.68

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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.