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Finding the Fourth Proportional to 7,510.65, 10,364.76 and 4,107.76

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Solution

The fourth proportional to 7,510.65, 10,364.76 and 4,107.76 is: 5,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.65 : 10,364.76 = 4,107.76 : x
  2. Step 2: Convert to fraction form
    7,510.65/10,364.76 = 4,107.76/x
  3. Step 3: Cross multiply
    7,510.65x = 10,364.76 × 4,107.76
  4. Step 4: Simplify right side
    7,510.65x = 42,575,946.54
  5. Step 5: Solve for x
    x = 42,575,946.54/7,510.65
  6. Step 6: Final answer
    x = 5,668.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.