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Finding the Fourth Proportional to 10,570.32, 14,577.03 and 7,916.76

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Solution

The fourth proportional to 10,570.32, 14,577.03 and 7,916.76 is: 10,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.32 : 14,577.03 = 7,916.76 : x
  2. Step 2: Convert to fraction form
    10,570.32/14,577.03 = 7,916.76/x
  3. Step 3: Cross multiply
    10,570.32x = 14,577.03 × 7,916.76
  4. Step 4: Simplify right side
    10,570.32x = 115,402,848.02
  5. Step 5: Solve for x
    x = 115,402,848.02/10,570.32
  6. Step 6: Final answer
    x = 10,917.63

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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.