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Finding the Fourth Proportional to 10,313.16, 14,232 and 6,064.71

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Solution

The fourth proportional to 10,313.16, 14,232 and 6,064.71 is: 8,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.16 : 14,232 = 6,064.71 : x
  2. Step 2: Convert to fraction form
    10,313.16/14,232 = 6,064.71/x
  3. Step 3: Cross multiply
    10,313.16x = 14,232 × 6,064.71
  4. Step 4: Simplify right side
    10,313.16x = 86,312,952.72
  5. Step 5: Solve for x
    x = 86,312,952.72/10,313.16
  6. Step 6: Final answer
    x = 8,369.21

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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.