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Finding the Fourth Proportional to 7,510.64, 11,267.76 and 2,316.52

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Solution

The fourth proportional to 7,510.64, 11,267.76 and 2,316.52 is: 3,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.64 : 11,267.76 = 2,316.52 : x
  2. Step 2: Convert to fraction form
    7,510.64/11,267.76 = 2,316.52/x
  3. Step 3: Cross multiply
    7,510.64x = 11,267.76 × 2,316.52
  4. Step 4: Simplify right side
    7,510.64x = 26,101,991.40
  5. Step 5: Solve for x
    x = 26,101,991.40/7,510.64
  6. Step 6: Final answer
    x = 3,475.34

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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.