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Finding the Fourth Proportional to 7,547.63, 10,415.72 and 4,403.21

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Solution

The fourth proportional to 7,547.63, 10,415.72 and 4,403.21 is: 6,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.63 : 10,415.72 = 4,403.21 : x
  2. Step 2: Convert to fraction form
    7,547.63/10,415.72 = 4,403.21/x
  3. Step 3: Cross multiply
    7,547.63x = 10,415.72 × 4,403.21
  4. Step 4: Simplify right side
    7,547.63x = 45,862,561.39
  5. Step 5: Solve for x
    x = 45,862,561.39/7,547.63
  6. Step 6: Final answer
    x = 6,076.42

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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.