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Finding the Fourth Proportional to 7,537.95, 10,407.52 and 4,709.63

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Solution

The fourth proportional to 7,537.95, 10,407.52 and 4,709.63 is: 6,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.95 : 10,407.52 = 4,709.63 : x
  2. Step 2: Convert to fraction form
    7,537.95/10,407.52 = 4,709.63/x
  3. Step 3: Cross multiply
    7,537.95x = 10,407.52 × 4,709.63
  4. Step 4: Simplify right side
    7,537.95x = 49,015,568.42
  5. Step 5: Solve for x
    x = 49,015,568.42/7,537.95
  6. Step 6: Final answer
    x = 6,502.51

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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.