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Finding the Fourth Proportional to 10,376.16, 14,298.55 and 7,383.61

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Solution

The fourth proportional to 10,376.16, 14,298.55 and 7,383.61 is: 10,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.16 : 14,298.55 = 7,383.61 : x
  2. Step 2: Convert to fraction form
    10,376.16/14,298.55 = 7,383.61/x
  3. Step 3: Cross multiply
    10,376.16x = 14,298.55 × 7,383.61
  4. Step 4: Simplify right side
    10,376.16x = 105,574,916.77
  5. Step 5: Solve for x
    x = 105,574,916.77/10,376.16
  6. Step 6: Final answer
    x = 10,174.76

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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.