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Finding the Fourth Proportional to 10,436.19, 14,401.95 and 5,656.18

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Solution

The fourth proportional to 10,436.19, 14,401.95 and 5,656.18 is: 7,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.19 : 14,401.95 = 5,656.18 : x
  2. Step 2: Convert to fraction form
    10,436.19/14,401.95 = 5,656.18/x
  3. Step 3: Cross multiply
    10,436.19x = 14,401.95 × 5,656.18
  4. Step 4: Simplify right side
    10,436.19x = 81,460,023.16
  5. Step 5: Solve for x
    x = 81,460,023.16/10,436.19
  6. Step 6: Final answer
    x = 7,805.53

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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.