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Finding the Fourth Proportional to 7,547.54, 10,415.95 and 4,190.40

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Solution

The fourth proportional to 7,547.54, 10,415.95 and 4,190.40 is: 5,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.54 : 10,415.95 = 4,190.40 : x
  2. Step 2: Convert to fraction form
    7,547.54/10,415.95 = 4,190.40/x
  3. Step 3: Cross multiply
    7,547.54x = 10,415.95 × 4,190.40
  4. Step 4: Simplify right side
    7,547.54x = 43,646,986.40
  5. Step 5: Solve for x
    x = 43,646,986.40/7,547.54
  6. Step 6: Final answer
    x = 5,782.94

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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.