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Finding the Fourth Proportional to 10,513.84, 15,774.60 and 4,894.18

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Solution

The fourth proportional to 10,513.84, 15,774.60 and 4,894.18 is: 7,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.84 : 15,774.60 = 4,894.18 : x
  2. Step 2: Convert to fraction form
    10,513.84/15,774.60 = 4,894.18/x
  3. Step 3: Cross multiply
    10,513.84x = 15,774.60 × 4,894.18
  4. Step 4: Simplify right side
    10,513.84x = 77,203,683.21
  5. Step 5: Solve for x
    x = 77,203,683.21/10,513.84
  6. Step 6: Final answer
    x = 7,343.05

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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.