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Finding the Fourth Proportional to 10,653.95, 14,701.91 and 5,874.72

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Solution

The fourth proportional to 10,653.95, 14,701.91 and 5,874.72 is: 8,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.95 : 14,701.91 = 5,874.72 : x
  2. Step 2: Convert to fraction form
    10,653.95/14,701.91 = 5,874.72/x
  3. Step 3: Cross multiply
    10,653.95x = 14,701.91 × 5,874.72
  4. Step 4: Simplify right side
    10,653.95x = 86,369,575.34
  5. Step 5: Solve for x
    x = 86,369,575.34/10,653.95
  6. Step 6: Final answer
    x = 8,106.82

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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.