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Finding the Fourth Proportional to 10,536.84, 15,809.51 and 4,689.45

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Solution

The fourth proportional to 10,536.84, 15,809.51 and 4,689.45 is: 7,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.84 : 15,809.51 = 4,689.45 : x
  2. Step 2: Convert to fraction form
    10,536.84/15,809.51 = 4,689.45/x
  3. Step 3: Cross multiply
    10,536.84x = 15,809.51 × 4,689.45
  4. Step 4: Simplify right side
    10,536.84x = 74,137,906.67
  5. Step 5: Solve for x
    x = 74,137,906.67/10,536.84
  6. Step 6: Final answer
    x = 7,036.07

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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.