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Finding the Fourth Proportional to 7,430.84, 10,259.20 and 4,782.84

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Solution

The fourth proportional to 7,430.84, 10,259.20 and 4,782.84 is: 6,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.84 : 10,259.20 = 4,782.84 : x
  2. Step 2: Convert to fraction form
    7,430.84/10,259.20 = 4,782.84/x
  3. Step 3: Cross multiply
    7,430.84x = 10,259.20 × 4,782.84
  4. Step 4: Simplify right side
    7,430.84x = 49,068,112.13
  5. Step 5: Solve for x
    x = 49,068,112.13/7,430.84
  6. Step 6: Final answer
    x = 6,603.31

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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.