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Finding the Fourth Proportional to 11,492.76, 15,821.10 and 10,313.40

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Solution

The fourth proportional to 11,492.76, 15,821.10 and 10,313.40 is: 14,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.76 : 15,821.10 = 10,313.40 : x
  2. Step 2: Convert to fraction form
    11,492.76/15,821.10 = 10,313.40/x
  3. Step 3: Cross multiply
    11,492.76x = 15,821.10 × 10,313.40
  4. Step 4: Simplify right side
    11,492.76x = 163,169,332.74
  5. Step 5: Solve for x
    x = 163,169,332.74/11,492.76
  6. Step 6: Final answer
    x = 14,197.58

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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.