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Finding the Fourth Proportional to 7,683.15, 11,506.25 and 5,210.46

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Solution

The fourth proportional to 7,683.15, 11,506.25 and 5,210.46 is: 7,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.15 : 11,506.25 = 5,210.46 : x
  2. Step 2: Convert to fraction form
    7,683.15/11,506.25 = 5,210.46/x
  3. Step 3: Cross multiply
    7,683.15x = 11,506.25 × 5,210.46
  4. Step 4: Simplify right side
    7,683.15x = 59,952,868.40
  5. Step 5: Solve for x
    x = 59,952,868.40/7,683.15
  6. Step 6: Final answer
    x = 7,803.16

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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.