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Finding the Fourth Proportional to 7,526.50, 10,386.58 and 4,214.50

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Solution

The fourth proportional to 7,526.50, 10,386.58 and 4,214.50 is: 5,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,526.50 : 10,386.58 = 4,214.50 : x
  2. Step 2: Convert to fraction form
    7,526.50/10,386.58 = 4,214.50/x
  3. Step 3: Cross multiply
    7,526.50x = 10,386.58 × 4,214.50
  4. Step 4: Simplify right side
    7,526.50x = 43,774,241.41
  5. Step 5: Solve for x
    x = 43,774,241.41/7,526.50
  6. Step 6: Final answer
    x = 5,816.02

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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.