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Finding the Fourth Proportional to 7,513.74, 11,271.64 and 3,130.17

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Solution

The fourth proportional to 7,513.74, 11,271.64 and 3,130.17 is: 4,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.74 : 11,271.64 = 3,130.17 : x
  2. Step 2: Convert to fraction form
    7,513.74/11,271.64 = 3,130.17/x
  3. Step 3: Cross multiply
    7,513.74x = 11,271.64 × 3,130.17
  4. Step 4: Simplify right side
    7,513.74x = 35,282,156.82
  5. Step 5: Solve for x
    x = 35,282,156.82/7,513.74
  6. Step 6: Final answer
    x = 4,695.69

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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.