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Finding the Fourth Proportional to 11,460.63, 15,697.14 and 10,788.15

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Solution

The fourth proportional to 11,460.63, 15,697.14 and 10,788.15 is: 14,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.63 : 15,697.14 = 10,788.15 : x
  2. Step 2: Convert to fraction form
    11,460.63/15,697.14 = 10,788.15/x
  3. Step 3: Cross multiply
    11,460.63x = 15,697.14 × 10,788.15
  4. Step 4: Simplify right side
    11,460.63x = 169,343,100.89
  5. Step 5: Solve for x
    x = 169,343,100.89/11,460.63
  6. Step 6: Final answer
    x = 14,776.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.