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Finding the Fourth Proportional to 7,145.60, 10,730.55 and 5,298.80

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Solution

The fourth proportional to 7,145.60, 10,730.55 and 5,298.80 is: 7,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.60 : 10,730.55 = 5,298.80 : x
  2. Step 2: Convert to fraction form
    7,145.60/10,730.55 = 5,298.80/x
  3. Step 3: Cross multiply
    7,145.60x = 10,730.55 × 5,298.80
  4. Step 4: Simplify right side
    7,145.60x = 56,859,038.34
  5. Step 5: Solve for x
    x = 56,859,038.34/7,145.60
  6. Step 6: Final answer
    x = 7,957.21

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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.