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Finding the Fourth Proportional to 7,604.30, 11,406.45 and 7,312.70

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Solution

The fourth proportional to 7,604.30, 11,406.45 and 7,312.70 is: 10,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.30 : 11,406.45 = 7,312.70 : x
  2. Step 2: Convert to fraction form
    7,604.30/11,406.45 = 7,312.70/x
  3. Step 3: Cross multiply
    7,604.30x = 11,406.45 × 7,312.70
  4. Step 4: Simplify right side
    7,604.30x = 83,411,946.92
  5. Step 5: Solve for x
    x = 83,411,946.92/7,604.30
  6. Step 6: Final answer
    x = 10,969.05

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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.