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Finding the Fourth Proportional to 10,653.46, 15,980.14 and 4,408.95

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Solution

The fourth proportional to 10,653.46, 15,980.14 and 4,408.95 is: 6,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.46 : 15,980.14 = 4,408.95 : x
  2. Step 2: Convert to fraction form
    10,653.46/15,980.14 = 4,408.95/x
  3. Step 3: Cross multiply
    10,653.46x = 15,980.14 × 4,408.95
  4. Step 4: Simplify right side
    10,653.46x = 70,455,638.25
  5. Step 5: Solve for x
    x = 70,455,638.25/10,653.46
  6. Step 6: Final answer
    x = 6,613.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.