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Finding the Fourth Proportional to 10,374.94, 14,312.85 and 7,016.51

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Solution

The fourth proportional to 10,374.94, 14,312.85 and 7,016.51 is: 9,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.94 : 14,312.85 = 7,016.51 : x
  2. Step 2: Convert to fraction form
    10,374.94/14,312.85 = 7,016.51/x
  3. Step 3: Cross multiply
    10,374.94x = 14,312.85 × 7,016.51
  4. Step 4: Simplify right side
    10,374.94x = 100,426,255.15
  5. Step 5: Solve for x
    x = 100,426,255.15/10,374.94
  6. Step 6: Final answer
    x = 9,679.70

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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.