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Finding the Fourth Proportional to 7,473.93, 10,314.29 and 4,117

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Solution

The fourth proportional to 7,473.93, 10,314.29 and 4,117 is: 5,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.93 : 10,314.29 = 4,117 : x
  2. Step 2: Convert to fraction form
    7,473.93/10,314.29 = 4,117/x
  3. Step 3: Cross multiply
    7,473.93x = 10,314.29 × 4,117
  4. Step 4: Simplify right side
    7,473.93x = 42,463,931.93
  5. Step 5: Solve for x
    x = 42,463,931.93/7,473.93
  6. Step 6: Final answer
    x = 5,681.61

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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.